A 126-gram sample of titanium metal is heated from 20.0°C to 45.4°C while absorbing 1.68 kJ of heat. What is the specific heat of titanium?

Respuesta :

Answer:

The specific heat for the titanium metal is 0.524 J/g°C.

Explanation:

Given,

Q = 1.68 kJ   = 1680 Joules

mass = 126 grams

T₁ = 20°C

T₂ = 45.4°C

The specific heat for the metal can be calculated by using the formula

Q = (mass) (ΔT) (Cp)

Here, ΔT =  T₂ - T₁ = 45.4 - 20 = 25.4°C.

Substituting values,

1680 = (126)(25.4)(Cp)

By solving,

Cp = 0.524 J/g°C.

The specific heat for the titanium metal is 0.524 J/g°C.

The specific heat for the titanium metal is 0.524 J/g°C. The specific heat capacity is the heat or energy required to change one unit mass of a substance.

Given:

Q = 1.68 kJ   = 1680 Joules

Mass = 126 grams

T₁ = 20°C

T₂ = 45.4°C

Specific heat:

The quantity of heat required to raise the temperature of one gram of a substance by one Celsius degree. The specific heat for the metal can be calculated by using the formula:

Q = (mass) (ΔT) (Cp)

Here,

Change in Temperature, ΔT =  T₂ - T₁ = 45.4 - 20 = 25.4°C.

Substituting values,

1680 = (126)(25.4)(Cp)

By solving,

Cp = 0.524 J/g°C.

The specific heat for the titanium metal is 0.524 J/g°C.

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